Source-pinned research

Research proof index

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This index contains 95 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.32.0

Eq finsum quotient out of bij On

AbstractHeckeOperator.eq_finsum_quotient_out_of_bijOn'

Plain-language statement

If a is fixed by V then ∑ᶠ g ∈ s, g • a is independent of the choice s of coset representatives in G for a subset of G ⧸ V

number theoryarithmetic geometryFermat's Last Theorem

Source project: Fermat's Last Theorem

Person-level attribution pending.

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Project-declaredLean 4.32.0

Comm Group no compact automorphisms

CommGroup.no_compact_automorphisms

Plain-language statement

A connected compact Hausdorff abelian topological group does not admit a nontrivial compact group of automorphisms.

number theoryarithmetic geometryFermat's Last Theorem

Source project: Fermat's Last Theorem

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Dvd card class Group of unramified is Cyclic

dvd_card_classGroup_of_unramified_isCyclic

Plain-language statement

This is the second part of Hilbert Theorem 94, which states that if L/K is an unramified cyclic finite extension of number fields of odd prime degree, then the degree divides the class number of K.

number theorycyclotomic fieldsFermat's Last Theorem

Source project: FLT for regular primes

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Eq pow prime of unit of congruent

eq_pow_prime_of_unit_of_congruent

Plain-language statement

A regular prime criterion: if a unit of the cyclotomic field is congruent to an integer modulo p, then it is a p-th power.

number theorycyclotomic fieldsFermat's Last Theorem

Source project: FLT for regular primes

Person-level attribution pending.

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